{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.8884120171673819, 236.0391304347826)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean = 209.7\n",
    "var = 23.4\n",
    "\n",
    "p = 1 - var / mean\n",
    "n = mean / p\n",
    "p, n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O8R+vFbOkZD8PXDWGc4b38zqSRJAbJw/kwrMy+OnrJWyrqPE6jrSioh+l/vC3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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10de00b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import binom\n",
    "xs = range(190,230)\n",
    "ys = binom(n,p).pmf(xs)\n",
    "plt.plot(xs,ys)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
